# NCERT Class 10 Solutions: Real Numbers (Chapter 1) Exercise 1.4 –Part 2

In the questions, below find the types of decimals.

Q.III)

Is terminating if

• p and q are co-prime

• q is of the form Where n and m are non-negative integers

Checking Co-prime

64 and 455 have no common factors, so, 64 and 455 are co-prime

For denominator 455

Hence

So, denominator is not of the form

Thus has a non-terminating repeating decimal

Q.IV)

Is terminating if

• p and q are co-prime

• And q is of the form Where n and m are non-negative integers

Checking Co-prime

3 and 320 have no common factors, so, 3 and 320 are co-prime

For denominator 320

Hence

So, denominator is of the form

Where

Thus i.e. is terminating decimal

Q.V)

Is terminating if

• p and q are co-prime

• And q is of the form Where n and m are non-negative integers

Checking Co-prime

29 and 343 have no common factors, so, 29 and 343 are co-prime

For denominator 343

Hence

So, denominator is not of the form

Thus has a non-terminating repeating decimal

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